11. The following describes the United States nuclear stockpile from
1944 to 1974. From 1944 to 1958, there was a gradual increase in the
number of warheads from 0 to about 5000. From 1958 to 1966, there
was a rapid increase in the number of warheads to a maximum of
about 32,000. From 1966 to 1970, there was a decrease in the number
of warheads to about 26,000. Finally, from 1970 to 1974, there was
a small increase to about 28,000 warheads. Sketch a graph of the
function.
10.

Answer:

56.52 km

Step-by-step explanation:

circumference of circle =2πr or dπ

d×π=18×3.14=56.52 km

hope this helps

plzz mark me brainliest

56.52 km is the circumference of the circle.

The given figure is a circle with diameter 18km. The formula for calculating the circumference is expressed as:

C = 2πr

radius = diameter/2

radius = 18km/2

radius = 9km

Substitute to have:

C = 2(3.14)(9)

C = 56.52 km

Hence the circumference of the circle is 56.52 km

Learn more on circumference here: https://brainly.com/question/27447563

#SPJ2

Answer:

a should be 45

b should be 90

c should also be 45

Step-by-step explanation:

I know this because 180-135=45 for a

since c is also 45, beside c should be 135.

which means those angles are congruent.

since a triangle equals 180 degrees all together 180-45-45=90

so b is 90

correct me if im wrong

The equation that can be used to find f, the number of offices on each floor of this building, is,

18f = 396.

The correct option is b.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

There are 18 floors in the building.

Each floor has the same number of offices.

Altogether, there are 396 offices in the building.

So, the equation that can be used to find f, the number of offices on each floors of this building

18f = 396

f = 22

Therefore, the required equation is 18f = 396.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

Answer:

theyre correct

Step-by-step explanation:

Answer:

-5i

Step-by-step explanation:

Answer:

Step-by-step explanation:

from 600 people changed to 950 people so increased 950-600=350

     if 600 is 100%

then 350 is ?%

?= 350*100/600 = 58.(3)%

so it increased by 58.(3)% since the year before

The associated right triangle has one angle θ whose tangent is x/6, and the adjacent side has length 6 while the opposite side has length x.

To evaluate the integral, we use the trigonometric substitution x = 6 tan(θ). Then, dx = 6 sec2(θ) dθ, and substituting in the integral we get:

∫(x^2)/(36+x^2) dx = ∫(36 tan^2(θ))/(36 + 36 tan^2(θ)) (6 sec^2(θ) dθ)

= ∫tan^2(θ) dθ

To solve this integral, we use the trigonometric identity tan^2(θ) = sec^2(θ) - 1, so we get:

∫tan^2(θ) dθ = ∫(sec^2(θ) - 1) dθ

= tan(θ) - θ + C

Substituting back x = 6 tan(θ) and simplifying, we get the final result:

∫(x^2)/(36+x^2) dx = 6(x/6 * √(1 + x^2/36) - atan(x/6) + C)

To know more about right triangle,

https://brainly.com/question/6322314

#SPJ11

Answer:

A quadratic polynomial is a type of polynomial that cannot be factored

Examples are;

x^2 + 3x + 5

x^2 + 5x + 7

Step-by-step explanation:

A quadratic polynomial is a type of polynomial which cannot be factored. Just like prime numbers, it only has two factors, 1 and itself.

Hence, a quadratic polynomial does not have rational roots. Its roots are complex and not real

Example are as follows;

(i) x^2 + 3x + 5

(ii) x^2 + 5x + 7

\(\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}\)

# What does it mean if a quadratic polynomial

is prime? Give two examples of quadratic

polynomials that are prime. Now, find a quadratic

polynomial that is prime.

\(\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}\)

\(\color{red}{About \:Quadratic \: polynomials\: :-}\)

➯ A polynomial having degree 2 is called a quadratic polynomial.

➯ The form of quadratic polynomial is

\(p(x) = a {x}^{2} + bx + c\)

➯ Degree of the quadratic polynomial will be 2.

➯ Variable of the quadratic polynomial will be 1.

\(\color{red}{For \:example :-}\)

\(p(x) = 2 {x}^{2} + 5x + 3 \\ 3 \:➝ \: constant \\ 2 \: and \: 5 \: ➝ \: coefficient \\ {}^{2} \: ➝ \: degree \\ x \:➝ \: variable \:\)

➯ In a quadratic polynomial there are 2 zeros because it has degree 2.

\(\color{red}{➯ The \: 2\: zeros \:are :-}\)

\(i) \: \: alpha( \alpha ) \: \\ ii) \: beta \: ( \beta )\)

\(\color{red}{For \:example :-}\)

\(p(x) = 2 {x}^{2} + 5 + 3 \\ = 2 {x}^{2} + 2x + 3x + 3 \\ = 2x(x + 1) + 3(x + 1) \\ = (x + 1)(2x + 3) \\ \\ As, \: \: p(x) = 0 \\ \\ ❥∴ \: (x + 1)(2x + 3) = 0 \\ x + 1 = 0 \\ x = - 1 \\ \\ ❥ \: 2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2} \\ \\ Here, \: \alpha = - 1 \\ \beta = \frac{ - 3}{2} \)

We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

Learn more about endowment here:

https://brainly.com/question/33122695

#SPJ11

Answer:

D) 3 1/8, 8 1/5, 8 1/3

Step-by-step explanation:

The order of the puppies' weights from least to greatest is the following:

\(3\frac{1}{8} , 8\frac{1}{5}, 8\frac{1}{3}\)

Three wholes are less than eight wholes, which means that the puppy named Kenadi weighs the least.

Scout and Major weigh a bit more than eight pounds. However, Major weighs less than Scout because one fifth is less than one third.

\(8\frac{1}{5} < 8\frac{1}{3}\)

This is why the correct option is D.

Answer:

D

Step-by-step explanation:

The probability that the thermometer reading is between 99.7 and 100.3 deg c is 0.84.

The probability that the thermometer reading is between 99.7 and 100.3 deg c is 0.84. This can be calculated using the cumulative distribution function (CDF) of the normal distribution, which is given by:

P(X <= x) = (1/sqrt(2*pi*sigma^2))*integral(-infinity to x of e^(-((x-mu)^2)/(2*sigma^2))dx

For the given parameters, the CDF is:

P(X <= x) = (1/sqrt(2*pi*0.1^2))*integral(-infinity to x of e^(-((x-99.8)^2)/(2*0.1^2))dx

For the interval 99.7 to 100.3, the probability is the difference between the CDF values of the two endpoints:

P(99.7 <= X <= 100.3) = P(X <= 100.3) - P(X <= 99.7)

= 0.84

The probability that the thermometer reading is between 99.7 and 100.3 deg c is 0.84. This can be calculated by finding the cumulative distribution function (CDF) of the normal distribution for the given parameters of mean 99.8 deg c and standard deviation of 0.1 deg c, and then taking the difference between the CDF values of the two endpoints of 99.7 and 100.3.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

download mo po gauth math tas scan mo po yan

Step-by-step explanation:

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

m1=51

supplementary angles so 180-129=51

m2=34

all triangles add up to 180, we know the other 2 angles we can find m2: 51+95=146, then 180-146=34

m3=95

vertical angle

m4=38

again, all triangles add up to 180, and we know the other 2 angles so we can simply add those together and subtract them from 180: 95+47=142, then 180-142=38

m5=47

vertical angle

m6=76

must find angle 7 first(see below), now you have two angles of the triangle so we do the same thing as m4 and m2: 45+59=104, 180-104=76

m7=59

supplementary angle again so 180-121=59

Compound amount = $8867.39

compound interest = $1867.39

EXPLANATION

Given:

Principal(p) = $7000 Rate(r) = 0.12 Time(t) = 2 n= 4

We can calculate the compound amount(A) using the formula below:

Substitute the values and evaluate.

Hence, the compound amount = $8867.39

We proceed to find the compound interest.

A = P + I

⇒ I = A - P

= 8867.39 - 7000

=1867. 39

Therefore, the compound interest = $1867.39

The simplified expression for p(z), the profit the company earns, in dollars is: p(z) = -3z² + 18z

The set X is known as the domain of the function, and the set Y is known as the codomain of the function. A function from a set X to a set Y assigns each element of X to exactly one element of Y. Originally, functions were an idealization of how one variable depends on another.

First, let's substitute the expressions for r(z) and c(z) in the expression for p(z):

p(z) = r(z) - c(z)

p(z) = 60z - (3z² + 42z)

p(z) = 60z - 3z² - 42z

p(z) = -3z² + 18z

Therefore, the simplified expression for p(z), the profit the company earns, in dollars is:

p(z) = -3z² + 18z

To know more about Function visit:

brainly.com/question/28193995

#SPJ1

With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.

However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).

Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.

Learn more about Alpha  here:

https://brainly.com/question/30447633

#SPJ11

Answer:

a). Amount of cardboard required will be less when manufacturer doubles the width.

b). Volume of the new cracker box = 216 in³

Step-by-step explanation:

Volume of the Graham cracker box = volume of the rectangular prism formed

                                                           = Length × Width × Height

                                                           = 6 × 2 × 9

                                                           = 108 in³

a). To double the volume of the rectangular prism, manufacturer either doubles the height or doubles the width.

When manufacturer doubles the height,  

Amount of cardboard required = surface area of the rectangular prism

                                                      = 2(lw + wh + hl)

                                                      = 2(6×2 + 2×18 + 18×6)

                                                      = 2(12 + 36 + 108)

                                                      = 2(66)

                                                      = 132 in²

When manufacturer doubles the width,

Surface area of the rectangular prism = 2(6×4 + 4×9 + 9×6)

                                                               = 2(24 + 36 + 54)

                                                               = 2(114)

                                                               = 228 in²

Therefore, amount of cardboard required will be less when manufacturer doubles the width.

b). Volume of the new Graham box = 2(Volume of the old box)

                                                           = 2 × 108

                                                           = 216 in³

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

To know more about Venn diagram refer here :

https://brainly.com/question/318076803

#SPJ11

The equation \(x^2 + y^2 + 10y + 20 = 0\) represents a circle with center (0, -5) and radius 5.

To determine if the equation represents a circle, we need to rewrite it in standard form. The standard form of a circle equation is \((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle and r represents the radius.

Completing the square for the y terms:

\(x^2 + y^2 + 10y + 20 = 0\\ x^2 + y^2 + 10y = -20\\ x^2 + y^2 + 10y + 25 = -20 + 25\\ x^2 + (y + 5)^2 = 5\)

Now the equation is in standard form, \((x - 0)^2 + (y + 5)^2 = 5^2\), which represents a circle.

By comparing the equation to the standard form, we can determine the center and radius of the circle. The center is given by the values (h, k), which in this case is (0, -5). Therefore, the center of the circle is (0, -5).

The radius is determined by the term \(r^2\), which in this case is \(5^2 = 25\). Therefore, the radius of the circle is 5.

In summary, the equation x^2 + y^2 + 10y + 20 = 0 represents a circle with center (0, -5) and radius 5. The completion of the square allowed us to rewrite the equation in standard form, making it evident that it represents a circle. The center of the circle is determined by the values of x and y, and the radius is determined by the value of r.

Learn more about circle equation here:

https://brainly.com/question/29104982

#SPJ11

Answer:

$52,501

Step-by-step explanation:

You need to subtract $122,499.

Answer:

18 dollars

Step-by-step explanation:

I'm right just trust

Step-by-step explanation:

Hey there!

According to the question, the normal cost price of pair of shoes is $24 (i.e $24 is MP= marked price).

Also, there is 25% off. (i.e discount)

Now,

SP (selling price) = MP - discount% of MP

or, SP = 24 - 25% of 24

\(sp = 24 - \frac{25}{1 00} \times 24\)

or, SP= 24 - 6

Therefore, the SP of the shoes is $18.

Hope it helps!

Answer:

1. Yes it does. It's a function because it pass in the vertical line test, which tell us that if you can draw an vertical line through the graph and this line touches the graph in only one point, it is a function.

2. B. I and II only

3. A. y = 8/7 x +5

The probability of there being exactly 10 days with exactly 3 birthdays out of a group of 100 people is extremely low, approximately 4.63 x \(10^{-37}\)

To answer this question, we need to use the concept of probability. The probability of an event happening is the number of desired outcomes divided by the total number of possible outcomes.
In this case, the desired outcome is that there are exactly 10 days with exactly 3 birthdays. To calculate this probability, we need to consider the total number of ways that 100 people can be distributed across 365 days.
There are a total of \(365^{100}\) possible ways to distribute birthdays. However, not all of these possibilities are valid because we are looking for exactly 10 days with exactly 3 birthdays.
We can use the formula for combinations to calculate the number of ways that 10 days can be selected out of 365. This is given by:
C(365, 10) = 3.535 x \(10^{21}\)
For each of these combinations, we need to calculate the number of ways that exactly 3 people can be assigned to each of the 10 days. This is given by:
\(C(100, 3)^{10}\) = 7.917 x \(10^{61}\)
The total number of valid outcomes is the product of these two values:
3.535 x \(10^{21}\) x 7.917 x \(10^{61}\) = 2.798 x \(10^{83}\)
The probability of the desired outcome is then:
Desired outcomes / Total outcomes = \(2.798 * 10^{83} / 365^{100}\) = 4.63 x\(10^{-37}\)

To learn more about probability, refer:-

https://brainly.com/question/30034780

#SPJ11

PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.

The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Simplify the exponent expressions within the parentheses:

(3^0 * 8^2) = (1 * 64) = 64

Step 2: Rewrite the expression with the simplified value:

(64)^-2

Step 3: Apply the exponent rule for a negative exponent:

(64)^-2 = 1 / (64)^2

Step 4: Evaluate the expression within the parentheses:

(64)^2 = 64 * 64 = 4096

Step 5: Rewrite the expression with the simplified value:

1 / 4096

Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.

To know more about Exponents.

https://brainly.com/question/13669161

#SPJ11

Answer:

Annie's Orange Grove

Step-by-step explanation:

* you need to find out how much each pound of oranges cost at both orchards.

* to do so you take the total amount of money and divide it by the number of pounds you get.

1) 7.25 ÷ 20 = .36

2) 5 ÷12 = .4

* as you can see .36 is less than .4 and therefore is the better deal.

Answer:

2. 42 hrs

Step-by-step explanation:

we know that there are 60 minutes in one hour.

60 mins = 1 hour

162 mins = 162/ 60

\( \frac{162}{60} = \frac{120 + 42}{60} \\ = \frac{120}{60} + \frac{42}{60} \\ = 2 hrs+ \frac{42}{60} hrs\)

42/ 60 hourse would mean 42 mins ( multiply the fractions with 60)

= 42 mins

therefore,

2hrs 42 mins

= 2. 42 hrs.

Answer:

20,000.

Step-by-step explanation:

The first music player has 500 songs stored by 2 GB. So 500/2 is 250. You take 250 and you multiply it by 80 and you get 20,000.